# A linear ODE

Find the $\textbf{general}$ solution of

$y'= \left (\begin{matrix} 1 & 1 & 1 \\ -1 & 0 & 1 \\ 1 & 1 & 0 \end{matrix} \right ) \cdot y$

and a solution with the initial value   $y(0) = \left ( \begin{matrix} 1 \\ -1 \\ 1 \end{matrix} \right )$.